Does a multi-step equation always, sometimes, or never have a solution? Explain your reasoning.

Answer: If the graph of a relationship is a line or a ray through the origin, then it is proportional. If it is a line or ray that does not pass through the origin, then it is not proportional. Also, if it is not linear, then it is not proportional.

Step-by-step explanation:

The best way Antonio's budget can be modified to help him save enough is D. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit

A budget is an estimate of revenue and expenses for a given period of time that is usually compiled and re-evaluated on a regular basis. A budget expresses intended expenditures as well as recommendations for how to meet them with resources.

Saving is the portion of one's income that is not spent on current expenses. In other words, it is money set aside for future use rather than being spent immediately. An expense is a cost incurred by businesses in the course of their operations. Wages, salaries, maintenance, rent, and depreciation are expenses.

In this case, the way to reduce the budget is illustrated.

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Answer:their equal to 150

Step-by-step explanation:

took the test

The speed of the fish in still water is 5 Km/h.

The speed of the current is 1 km/hr.

For the given question.

Total distance travelled by fish = 12 miles.

Let the speed of the fish in still water be 'x km/h.'

Let the speed of the current be 'y km/hr'.

Time taken by fish in moving down steam is 2 hours.

Time taken by fish in moving up steam is 3 hours.

Use formula;

Distance = speed x time

Part a:  system of linear equations

Down steam; 2(x + y) = 12   ...eq 1

Up steam; 3(x - y) = 12   ...eq 2

Part b: speed of the fish in still water.

Solve equation 1 an d 2 by elimination.

2(x + y) = 12

3(x - y) = 12

Divide equation 1 by 2 and multiply it by 3, Then add to eq 2.

6x = 30

x = 5

Speed of fish in still water = 5 Km/h.

Part c: speed of the current

Put value of x in eq 1.

x = 5

2y = 12 - 10

2y = 2

y = 1

Thus, speed of the current is 1 km/hr.

Part d: If the speed of the current is not constant than, then the value of speed of the fish in still water can not be found.

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Distance between starting and end point. The hiker descends the distance is [tex]124.1m[/tex]

What is depth?

The distance between the nearest end and farthest end of an object is its depth.

Here given that, the depth of the mammoth cave is [tex]-124.1m[/tex].

When the hiker is at the maximum depth it is traveling to the bottom of the cave.

As it is given the depth of the cave [tex]-124.1m[/tex]. Since the hiker is traveling down to the bottom and covering the total depth and the hiker must have covered the same distance corresponding to the depth in the cave which would be [tex]124.1m[/tex].

Hence, the hiker must have descended the distance that is [tex]124.1m[/tex]

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Answer:

===================

and

Answer: Gradient is 3 and y-intercept is 15

Step-by-step explanation:

by rearranging the equation so y is on 1 side we get:

y = 3x + 15

the gradient is the number before the x (coefficient)

the y intercept is the number that is not multiplied by the x, in this case 15

TThe 95% confidence interval for the mean spent on books at this university is (160.711, 179.289).

In the given question we have to find the 95% confidence interval for the mean spent on books at this university.

A sample of 50 students was taken from the local university.

So n=50

These students spent an average of $170 on books this semester, with a standard deviation of $25.50.

So x=$170 and σ = $25.50

So the 95% confidence interval for the mean spent on books at this university.

CI=x ± [tex]z_{\alpha /2}[/tex]× σ/√n

Now finding the value of [tex]z_{\alpha /2}[/tex] for 99%=0.99 confidence interval.

[tex]\alpha[/tex] =1−0.99 = 0.01

[tex]\alpha[/tex]/2 = 0.01/2 = 0.005

[tex]z_{\alpha /2}=z_{0.005}[/tex]

[tex]z_{\alpha /2}[/tex] = 2.576

The z critical value at 99% confidence interval is 2.576.

Putting the value

CI=170 ± 2.576× 25.50/√50

CI=170 ± 2.576× 25.50/7.071

CI=170 ± 2.576×3.606

CI=170 ± 9.289

CI=(170 − 9.289, 170 + 9.289)

CI =(160.711, 179.289)

Hence, the 95% confidence interval for the mean spent on books at this university is (160.711, 179.289).

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Option (3) is correct. A translation of 3 units down.

What is translation of points?

A point's linear displacement from its starting position is referred to as translation. In an x - y coordinate plane, a point's coordinates are labelled with respect to the origin by first indicating the horizontal position and then the vertical position.

Given: The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below,

E(-5, 5)   ⇒ E'(-5, 2)

F(-3, 4) ⇒ F'(-3, 1)

G(-2, 1) ⇒ G'(-2, -2)

H(-4, 2) ⇒ H'(-4, -1)

From above we can see that the y - coordinate of each point is decrease by 3.

Which is the translation of 3 units down.

Therefore, the single transformation a translation of 3 units down, could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'.

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Answer:

25

Step-by-step explanation:

5x5 =25 25-5=20

At Letter2go, Betsie can purchase the 250 envelopes. As an example, 250 envelopes cost £31.9 in the Letter2go store but £33.17 in the Value World store.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

From Letters 2 go:

Pack of 25 envelopes for £3.19

If we look at the price of envelopes at shop 1, which is Value World,

The cost of a pack of 10 envelopes is £1.99.

Also, buy 2, get one is free

Which means that 1 pack = £1.99

2 packs = 2×£1.99 = £3.98

Also, with 2 packs Betsie get 1 pack free

So, Betsie gets 3 packs for £3.98.

1 pack = 10 envelopes

3 packs = 30 envelopes.

Hence,

In shop Value World:

30 envelopes = £3.98

1 envelope = £3.98/30

250 envelopes = (3.98/30)×250

So, 250 envelopes will cost £33.17 in Shop Value World.

From shop Letter 2 go:

25 envelopes = £3.19

1 envelope = £3.19/25

250 envelopes = (3.19/25)×250

Therefore, 250 envelopes in Store Letter 2 go should cost £31.9.

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Answer: x = 1/2 , -3/2

Step-by-step explanation:

Use the quadratic formula:

a=4

b=4

c=-3

x= -4 +- sqrt16-4(4)(-3) / 8

= -4 +- sqrt16+48 / 8

= -4 +- sqrt64 / 8

= -4 +- 8 / 8

Split it to (-4 + 8) / 8 and (-4 - 8) / 8

4/8 and -12/8 = 1/2 and -3/2

The different ways used to display misleading information on a graph is done by skipping a number or doesn't begin at zero. There are incorrect labels on the graph. Data is missing.

A misleading graph also referred to as a distorted graph, is one that presents data inaccurately, abusing statistics in the process and potentially leading to an incorrect conclusion.

Sometimes deceptive graphs are created on purpose, and other times it's just a matter of people not comprehending the data that goes into the graph. The "classic" varieties of deceptive graphs include those in which:

The vertical scale does not begin at zero, is too large or too little, skips digits, or all of the above.

The graph's labels need to be updated.

Data is omitted.

Thus, the different ways used to display misleading information on a graph are done by skipping a number or doesn't begin at zero. There are incorrect labels on the graph. Data is missing.

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Answer:1174.5

Step-by-step explanation:

.13 times 1350= 175.5$ so 1350-175.5= 1,174.5$

The number of red marbles in the bag is 12.

We are given a bag. The bag contains two types of marbles. There are red and blue marbles in the bag. The ratio of marbles is four red marbles to thirteen more blue marbles than red marbles. Let the ratio of the number of red marbles to that of blue marbles be denoted by the variable "r".

r = 4/(13 + 4) = 4/17

The number of red marbles and blue marbles in the bag is 4x and 17x, respectively, where "x" is a variable. We know that the number of blue marbles in the bag is 51. We can write the following equation to find the value of "x".

17*x = 51

x = 51/17 = 3

Hence, the number of red marbles is 4x = 4*3 = 12.

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Answer:

24 people

Step-by-step explanation:

600 = 25x + 50  Subtract 50 from both sides of the equation

550 = 25x  Divide both sides by 25

24 = x

Answer: x = 22

Step-by-step explanation:

We need to use trial and error for this.

20 - 25 seems like a reasonable range to substitute x with.

C(20) = 25(20) + 50

C(20) = 500 + 50

C(20) = 550.

This means that 20 is not the answer. Let's try 21.

C(21) = 25(21) + 50

C(21) = 525 + 50

C(21) = 575.

This means that 21 is also not the answer. let's try 22.

C(22) = 25(22) + 50

C(22) = 550 + 50

C(22) = 600.

This means that 22 is the maximum number of people for a budget of $600.

x = 22

Answer:

2

Step-by-step explanation:

we can try 2 to distribute since 18 divided by 9 is 2

2(4x+9)

2(4x)+2(9)

8x+18

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It will take 96.7 days for the whole US population to get infected.

Given information;

The number of people infected with coronavirus doubles every 3.3 days as following;

1 → 2 →  4 → 8 → 16 → 32 → 64 → . . . . . . . . . . . . → 333,000,000

Let 'x' denotes number of 3.3 days passed the for cases 333,000,000.

⇒ [tex]2^x = 333,000,000[/tex]

For the above equation applying log on both sides. we get;

x(In 2) = In (330,000,000)

x =  In (330,000,000)/(In 2)

x = 28.3

Therefore;

So, total no. of 3.3 days passed = 1 + x

                                                     = 1 + 28.3

                                                     = 29.3

And number of days for 1 to 330,000,000 = 29.3 * 3.3 days

                                                                      = 96.7 days

Hence, it will take 96.7 days to infect the total population in US.

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Answer:

Integer, Rational, Real

Step-by-step explanation:

Let's go through and define what each of these are:

Integer:

An integer is any number (including zero) that is positive or negative. Please note that it cannot be a decimal / fraction.

-1 is a whole, negative number. So, it is an integer.

Rational:

A rational number is any number that can be written as a ratio of 2 numbers. Ex: 1.5 can be 3/2

-1 can be written as -1/1, so it is a rational number.

Real

A real number is *any* number that is not imaginary (the number i is imaginary. i is [tex]\sqrt{-1}[/tex])

-1 has no i so it is a real number

Irrational

An irrational number is any number with a radical at it's end. Ex: 3 [tex]\sqrt{5}[/tex], and [tex]2\sqrt{2}[/tex]

-1 has no radical attached to it, so it is not an irrational number.

Whole:

A whole number is any number that has no decimal and is positive (though zero is included)

-1 has no negative, but is a negative number so it would not be counted as a whole number.

Natural:

Natural numbers were always confusing to me, but I hope this will help you. A natural number is any positive number starting at 1, and going forever. They always increase in a multiple of 1. Examples of natural numbers: 1, 2, 3, 4... It is called a natural number, because counting in multiples of ones is natural to us, like counting the amount of apples in a basket.

-1 is a negative number, so doesn't qualify for the characteristics of a natural number.

Let's go back through all of these explanations and see which ones we said -1 is:

Integer, Rational, Real

Answer:

Step-by-step explanation:

The y-intercept is the y-coordinate with x = 0, this is 2 on the table:

Use one more of points, (2, 6.5) to find the slope:

The line is:

Correct choice is A.

Step-by-step explanation:

#=number

Nachelle gets 50 points when signing up: 50+#x=#

Nachelle earns 12.5 points for each visit: 50+12.5x=#

Nachelle need at least 170 points: 50+12.5x=170

Subtract 50 from both sides: 50-50+12.5x=170-50

50-50 cancel out so now your left with 12.5x=170-50

Subtract the 170 and 50: 12.5x=120

Divide 12.5 from both sides: 12.5x÷12.5=120÷12.5

12.5x÷12.5 cancel out so the inequality is now x=120÷12.5

Divide 120 and 12.5: x=9.6

Since there is no such thing as 9.6 visits, round to 10.

Answer:

3

It should be 3 because well how to explain

Answer:

Step-by-step explanation:

See the attached image

Answer:

4/3

Step-by-step explanation:

so in y=mx+b form.

m=slope b=y-int

Subtract 5 from both sides to isolate y on a side.

4x-6=3y

Divide both sides by 3 to isolate y on one side.

(4/3)x-2=y

y=(4/3)x-2

m=4/3

b=-2

So the slope is 4/3

The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given volume expression,

V= lwh

a)

l = V/(wh)

l = 8/(2 × 4) = 1

b)

V= lwh

l = V/(wh)

Hence "The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh)".

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Answer:

nStep-by-stepkbexplanation:

Answer:

Step-by-step explanation:

 -3x^2 + 24x + 5 in the form 5 (6x - 3)^2 + 18